Answer:
(D)
Step-by-step explanation:
Given ABCD is a trapezoid.Join the points A and C of the trapezoid together to form a diagonal of the trapezoid.Thus, Points A and C have coordinates (-a,0) and (b,c).
Using the distance formula on AC, we have
AC=[tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]
=[tex]\sqrt{(b+a)^{2}+(c-0)^{2}}[/tex]
=[tex]\sqrt{(a+b)^{2}+c^{2}}[/tex]
which is the required length of the diagonal of the trapezoid.
